Analyze Systems of Equations

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students.

Write the equations needed to solve the problem: (8.EEI.C.8d)

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8.EEI.C.8d

8.EEI.C.8.d

Anika, Aiden, and Elijah are trying to determine the number of solutions for a system of equations they encountered while studying. The equations are as follows: y=\frac{2}{3}x-6 y=\frac{2}{3}x+3 How many solutions does this system have, and why?

• There are no solutions because the slopes and y-intercepts are the same.

• There are infinitely many solutions because the slopes and y-intercepts are the same.

• There are no solutions because the slopes are the same and the y-intercepts are different.

• There are infinitely many solutions because the slopes are the same and the y-intercepts are different.

Tags

8.EEI.C.8c

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8.EEI.C.8b

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8.EEI.C.8b

Which statement is true about the system?

• The two equations in the system are the same line with the same slope, and therefore the system has no solutions.

• The two equations in the system are the same line with the same slope, and therefore the system has an infinite number of solutions.

• The two equations in the system are different lines with same slopes, and therefore the system has one solution.

• The two equations in the system are different lines with same slopes, and therefore the system has no solutions.

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Which is a true statement about the system of equations graphed below?

• The system of equations does not have a solution because

  the lines do not intersect.

• The system of equations has one solution, although it is not

  visible on the graph.

• The system of equations has an infinite number of solutions.

• None of the statements above are true.

Find the exact real solutions to the system

• no real solutions

• (0, 5)

• (-10, 11)

• (5, 0)

How many solutions will this system have?

• No Solution

• Infinite Solutions

• I Can't Tell

• One solution

Tags

8.EEI.C.8b